Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other, and they meet after 4 hours of riding.a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.

b. What are the speeds of the two cyclists? Put both values in the answerbox, separated with a comma, and select the appropriate units.

Answers

Answer 1
Answer:

Answer:

Speed of a= 21 miles/hr

r = Speed of b= 7 miles/hr

Speed of a = 3r

Step-by-step explanation:

The cyclist are 112 miles apart

Time traveled by two = 4 hours

Speed of a = 3 * speed of b

If a cylcles 3 times More than b, then a will cover 3*distance of b

But speed = distance/time

Time = 4hours

Total distance=112

a = 3b

3b + b = 112

4b = 112

b = 112/4

b = 28 miles

a = 3b

a = 3*28

a = 84 Miles

They bought traveled 4 hours

Speed of a = 84miles/4 hours

Speed of a= 21 miles/hr

Speed of b = 28miles/4 hours

Speed of b = 7 miles/hr

Answer 2
Answer:

Final answer:

The slower cyclist is traveling at a speed of 7 mph, while the faster cyclist is traveling at 21 mph.

Explanation:

We first need to recognize that the sum of the distances travelled by each cyclist is equal to the total 112 miles. We can let r represent the speed of the slower cyclist, and since the faster cyclist is traveling 3 times the speed of the slower, we can call his speed 3r.

As they each traveled for 4 hours, the slower cyclist traveled a distance of 4r miles, and the faster cyclist traveled a distance of 4 × 3r = 12r miles. Their combined distances should equal the total distance between them, 112 miles. This forms the equation 4r + 12r = 112.

To solve for r, we combine the like terms on the left side of the equation to get 16r = 112. Dividing both sides by 16, we find r = 7 miles per hour. Therefore, the slower cyclist is traveling at 7 mph, and the faster cyclist is traveling 3 times that speed, giving us 21 mph.

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Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer

Answers

Hence , the sum is 11x^2-8x-14.

WHAT IS A POLYNOMIAL

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to Solve?

Given , we need to add 2x^2-8x-6 and 9x^2-8.

So, we can write it as :

2x^2 -8x-6+9x^2-8

Writing like terms together:

= 2x^2+9x^2-8x-6-8

=11x^2-8x-14

Hence , the answer is 11x^2-8x-14.

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Answer:f

(x)=x,  g(x)=x3−1f(x)=x4+x3−11x2−5x+30,  g(x)=2x−2f(x)=x2,  g(x)=7x−1

in short ways the answer is  7x−1

Which statement illustrates why cosine is an even function?cos(pie/4) = -cos(5pie/4)
cos(pie/4) = -cos(4pie/4) cos(-pie/4) = cos(pie/4)
cos(-7pie/6) = cos(5pie/4)

Answers

cos(-(\pi )/(4) )=cos((\pi )/(4) ) illustrates why cosine is an even function.

What is an even function?

A function such that f(x)=f(−x) where the value remains unchanged if the sign of the independent variable is reversed.

According to the question

Cosine is an even function

If f(x) is an even function, then f(x) = f(-x)

So, cos(-(\pi )/(4) )=cos((\pi )/(4) ) illustrates why cosine is an even function.

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C. cos(-pie/4) = cos(pie/4)

Step-by-step explanation: edge

What are the answers to 7 and 8?

Answers

Answer:

Step-by-step explanation: 7 b  and d8

A roll of ribbon was 9 meters long. Kevin cut 8 pieces of ribbon each of length 0.8 meter, to tie some presents. He then cut the remaining ribbon into some pieces, each of length 0.4 meter.a) how many pieces of ribbon, each 0.4 meter in length, did Kevin have?
b) What was the length of ribbon left over?

Answers

answer for A is 6 pieces and the answer for B is .2 meters..

How many feet are in half a mile?

Answers

Answer:

answer below:)

Step-by-step explanation:

There are 5280 feet in one mile. So, half a mile is equal to 0.5 x 5280 = 2640 feet.

5280 looked it up on safari

Use the drawing tools to form the correct answer on the graph. Graph this function. - 2 + 8 = Reset ® Delet Undo Drawing Tools Click on a tool to begin drawing. Select Point 10 Line 8 3 6- 4 2 2 4 6 -2 8 10 -4 -10 -8 -6 -2 7071 Frmentum. All rights reserved.​

Answers

The graph of f(x) = -2x + 8 has a slope of -2, and a y-intercept of 8

The function is given as:

f(x) = -2x + 8

The above function is a linear function.

A linear function is represented as:

y =mx + c

Where:

m represents the slope, and c represents the y-intercept.

So, by comparison;

m =-2

c = 8

This means that the graph of f(x) = -2x + 8 has a slope of -2, and a y-intercept of 8

See attachment for the graph of the function

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Answer:

we have,AD=x cmBC=AD=x cmAB=2AD=2x cmDC=4 cm+AB=(4+2x)cmPerimeter of the trapezium, p=38 cm